President Uhuru Kenyatta has asked Aden Duale to ensure the two-thirds gender rule is passed and implemented when Parliament resumes from recess.
State House spokesman Manoah Esipisu told the Star on phone on Sunday that the President issued the directive with respect to the constitution.
"It is true the President has asked the National Assembly Majority to prioritise the passage of the rule to allow smooth implementation as per what the constitution requires," he said.
said sources inside State House attributed the renewed push to the fact that the "Presidency feels it had better go into an election with an option which can be improved rather than with nothing".
The news agency said Duale and legal experts are considering narrowing down the Constitutional Amendment Bill sponsored by Justice and Legal Affairs Committee chairman Samuel Chepkonga (Ainabkoi MP).
The Bill advocates for the progressive implementation of the Bill; it provides the gender principle is achieved in Parliament within 20 years from the 2017 polls.
Women MPs have opposed it saying they want a direct approach.
Uhuru earlier urged MPs to turn up in large numbers to vote for the Bill when sessions resume on May 9.
Members of the National Assembly are set to debate and vote on the Bill that would allow an increase in the number of special seats in Parliament.
If passed, the laws will guide the achievement of the two thirds requirement on National Assembly and Senate membership.
Uhuru noted in a statement on Wednesday that leaders must model the example of submission to the constitution and the laws they pass.
"I call upon all our members to vote for this Bill. The vote will be public; the people of Kenya are waiting to see you make history this afternoon," he said.
"We need to pass this Bill into law, to comply with the constitutional provisions on the composition of elective offices in Kenya. More broadly, we need to pass this legislation to secure gender equity in government."
While eulogising his late half sister Margaret Wambui at St Andrews Church in Nairobi Uhuru said: "This in respect to the constitution and the rule of law. I urge all members of every party to turn up and vote for the Act".
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Nominated Senator Martha Wangari has also urged Kenyans to nominate and elect more women in August.
In a statement on Sunday, she said electing more women will help avert crisis in the next Parliament and meet the two-thirds gender threshold set by the Constitution.
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